Finite Group Databasebeta

← C2×#21455449 #30547171

Subgroups — C2×#21455449 #30547171

Order 15616.

2898 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519810C211yesmaximal, characteristic, complemented
2C2×#16840273C211yesmaximal, characteristic
3C22×#14519756C211yesmaximal, characteristic, complemented
4#21455449C2116yesmaximal, direct product factor
5C2×#16840020C212yesmaximal, complemented
6C2×#16840008C212yesmaximal, complemented
7C2×#16840003C212yesmaximal, complemented
8C2×#16839991C212yesmaximal, complemented
9C2×#16839804C211yesmaximal, characteristic, complemented
10C2×#16839764C211yesmaximal, characteristic, complemented
11C2×#16839772C211yesmaximal, characteristic, complemented
12C23×M16×C61C211yesmaximal, characteristic, complemented
13C22×#11758222C2211yescharacteristic
14C23×Dic122C2211yescharacteristic
15C2×#14519810—28no—
16C2×#14519810C2218yescomplemented
17C22×Dic244C2212yescomplemented
18C22×#11758190C2212yescomplemented
19#16840273—24no—
20#16840273C2218yes—
21C2×#14519760—21no—
22C2×#14519756—21no—
23C2×#14519756—21no—
24C2×#14519756—24no—
25C2×#14519756C2212yes—
26C2×#14519756C2211yescharacteristic
27C2×#14519756C2212yes—
28C2×#14519756C2211yescharacteristic
29C2×#14519756C2218yescomplemented
30C2×#14519751C2211yescharacteristic
31C2×#14519751C2211yescharacteristic
32C2×#14519746—21no—
33C2×C4×C22⋊D61—21no—
34C2×C4×C22⋊D61—21no—
35C2×#14519736C2211yescharacteristic
36C22×C4⋊Dic61C2211yescharacteristic
37C22×#11758196—21no—
38C22×C22⋊Dic61—21no—
39#16840020C22116yescomplemented
40#16840008C22116yescomplemented
41#16840003C22116yescomplemented
42#16839991C22116yescomplemented
43#16839804C2218yescomplemented
44C2×#14519711C2212yescomplemented
45C2×#14519709C2212yescomplemented
46#16839772C2218yescomplemented
47#16839764C2218yescomplemented
48C2×#14519702C2212yescomplemented
49C2×#14519702C2212yescomplemented
50C2×#14519702C2212yescomplemented
51C2×#14519699C2212yescomplemented
52C24×C4×C61C2211yescharacteristic
53C22×M16×C61—28no—
54C22×M16×C61C2212yes—
55C22×M16×C61C2211yescharacteristic
56C22×M16×C61C2211yescharacteristic
57C22×M16×C61C2218yescomplemented
58C23×C8×C61C2212yes—
59C2×#11758222—22no—
60C2×#11758222—24no—
61C2×#11758222—24no—
62C2×#11758222C2314yes—
63C22×Dic122—24no—
64C22×Dic122—24no—
65C22×Dic122—21no—
66C22×Dic122—22no—
67C22×Dic122C2312yes—
68C22×Dic122C2311yescharacteristic
69C22×Dic122C2314yes—
70C22×D244C2311yescharacteristic
71C22×C22⋊D61—21no—
72C22×C22⋊D61—21no—
73C22×C22⋊D61—21no—
74C23×Dic61—21no—
75C23×Dic61—21no—
76C22×C4×D61—21no—
77#14519810—232no—
78C2×Dic244—28no—
79C2×Dic244C2318yescomplemented
80C2×#11758190—28no—
81C2×#11758190C2318yescomplemented
82#14519760—28no—
83#14519756—24no—
84#14519756—24no—
85#14519756—28no—
86#14519756—28no—
87#14519756—22no—
88#14519756—22no—
89#14519756C2318yes—
90#14519756C2314yes—
91#14519756C2318yes—
92#14519756C2314yes—
93#14519751—22no—
94#14519751—22no—
95#14519751C2314yes—
96#14519751C2314yes—
97#14519746—28no—
98C4×C22⋊D61—28no—
99C4×C22⋊D61—28no—
100#14519736—22no—
101#14519736C2314yes—
102C2×C4⋊Dic61—21no—
103C2×C4⋊Dic61—22no—
104C2×C4⋊Dic61C2312yes—
105C2×C4⋊Dic61C2314yes—
106C2×C4⋊Dic61C2311yescharacteristic
107C2×C4⋊Dic61C2311yescharacteristic
108C2×#11758196—22no—
109C2×#11758196—22no—
110C2×#11758196—28no—
111C2×#11758196—21no—
112C2×#11758196—21no—
113C2×C22⋊Dic61—22no—
114C2×C22⋊Dic61—22no—
115C2×C22⋊Dic61—28no—
116C2×C22⋊Dic61—21no—
117C2×C22⋊Dic61—21no—
118C2×C22⋊Dic61—21no—
119C2×#11758198—21no—
120C2×#11758198—21no—
121C2×C4×Dic61—21no—
122#14519711C2318yescomplemented
123#14519709C2318yescomplemented
124#14519702C2318yescomplemented
125#14519702C2318yescomplemented
126#14519702C2318yescomplemented
127#14519699C2318yescomplemented
128C25×C61D411yescharacteristic
129C23×C4×C61—24no—
130C23×C4×C61—24no—
131C23×C4×C61D411yescharacteristic
132C23×C4×C61D411yescharacteristic
133C23×C4×C61D411yescharacteristic
134C23×C4×C61D414yes—
135C23×C4×C61C2311yescharacteristic
136C23×C4×C61C2311yescharacteristic
137C23×C4×C61C2314yes—
138C23×C4×C61C2311yescharacteristic
139C2×M16×C61—24no—
140C2×M16×C61—232no—
141C2×M16×C61—28no—
142C2×M16×C61D418yescomplemented
143C2×M16×C61C2318yes—
144C2×M16×C61C2314yes—
145C2×M16×C61C2314yes—
146C22×C8×C61—28no—
147C22×C8×C61C2312yes—
148C22×C8×C61C2318yes—
149C22×C8×C61C2312yes—
150C24×C61—24no—
151C24×C61—24no—
152C24×C61—42no—
153C24×C61C2×D411yescharacteristic
154C24×C61C2×D414yes—
155C24×C61C2×D411yescharacteristic
156C24×C61C2×D411yescharacteristic
157C23×D61—21no—
158C22×C4×C61—24no—
159C22×C4×C61—24no—
160C22×C4×C61—24no—
161C22×C4×C61—216no—
162C22×C4×C61—22no—
163C22×C4×C61—28no—
164C22×C4×C61—22no—
165C22×C4×C61—22no—
166C22×C4×C61—22no—
167C22×C4×C61—28no—
168C22×C4×C61C2×D411yescharacteristic
169C22×C4×C61C2×D411yescharacteristic
170C22×C4×C61C2×D414yes—
171C22×C4×C61C2×D414yes—
172C22×C4×C61C2×D414yes—
173C22×C4×C61C2×D412yes—
174C22×C4×C61C2×D412yes—
175C22×C4×C61C2×D411yescharacteristic
176C22×C4×C61C2×D412yes—
177C22×C4×C61C2×D414yes—
178C22×C4×C61#4114yes—
179C22×C4×C61C2412yes—
180C22×C4×C61C2412yes—
181C22×C4×C61C2411yescharacteristic
182C22×C4×C61C2412yes—
183C2×C22⋊D61—24no—
184C2×C22⋊D61—24no—
185C2×C22⋊D61—24no—
186C2×C22⋊D61—44no—
187C2×C22⋊D61—44no—
188C2×C22⋊D61—44no—
189C22×Dic61—21no—
190C22×Dic61—24no—
191C22×Dic61—22no—
192C22×Dic61—24no—
193C22×Dic61—22no—
194C22×Dic61—21no—
195C22×Dic61—21no—
196C22×Dic61—44no—
197C22×Dic61—44no—
198#11758222—28no—
199#11758222—28no—
200#11758222—48no—
201C2×D244—22no—
202C2×D244—22no—
203C2×D244—21no—
204C2×D244C2412yes—
205C2×C4×D61—24no—
206C2×C4×D61—44no—
207C2×Dic122—28no—
208C2×Dic122—24no—
209C2×Dic122—22no—
210C2×Dic122—24no—
211C2×Dic122—28no—
212C2×Dic122—22no—
213C2×Dic122—24no—
214C2×Dic122—22no—
215C2×Dic122—21no—
216C2×Dic122—44no—
217C2×Dic122—48no—
218C2×Dic122C2414yes—
219C2×Dic122C2412yes—
220M16×C61—28no—
221M16×C61—216no—
222M16×C61C2×D4116yescomplemented
223C2×C8×C61—24no—
224C2×C8×C61—216no—
225C2×C8×C61C2×D418yes—
226C2×C8×C61C2414yes—
227C2×C8×C61C2414yes—
228C22⋊Dic61—28no—
229C22⋊Dic61—28no—
230C22⋊Dic61—24no—
231C22⋊Dic61—24no—
232C22⋊Dic61—24no—
233#11758198—24no—
234#11758198—24no—
235C4⋊Dic61—24no—
236C4⋊Dic61—22no—
237C4⋊Dic61—21no—
238C4⋊Dic61—21no—
239C4⋊Dic61C2414yes—
240C4⋊Dic61C2412yes—
241C4⋊Dic61C2412yes—
242#11758196—28no—
243#11758196—28no—
244#11758196—24no—
245#11758196—24no—
246C4×Dic61—24no—
247Dic244—216no—
248#11758190—216no—
249C23×C61—22no—
250C23×C61—22no—
251C23×C61—22no—
252C23×C61—22no—
253C23×C61—28no—
254C23×C61—22no—
255C23×C61—22no—
256C23×C61—28no—
257C23×C61—22no—
258C23×C61—44no—
259C23×C61—416no—
260C23×C61#12114yes—
261C23×C61#13714yescomplemented
262C23×C61C22×D412yes—
263C23×C61C22×D412yes—
264C23×C61C22×D412yes—
265C23×C61C22×D411yescharacteristic
266C22×D61—22no—
267C22×D61—42no—
268C22×D61—42no—
269C22×D61—42no—
270C2×C4×C61—28no—
271C2×C4×C61—22no—
272C2×C4×C61—22no—
273C2×C4×C61—24no—
274C2×C4×C61—24no—
275C2×C4×C61—28no—
276C2×C4×C61—28no—
277C2×C4×C61—22no—
278C2×C4×C61—22no—
279C2×C4×C61—22no—
280C2×C4×C61—22no—
281C2×C4×C61#12114yes—
282C2×C4×C61#12118yes—
283C2×C4×C61C22×D412yes—
284C2×C4×C61C22×D412yes—
285C2×C4×C61C22×D412yes—
286C2×C4×C61C22×D411yescharacteristic
287C2×C4×C61C22×D412yes—
288C2×C4×C61C22×D414yes—
289C2×C4×C61C2×#4112yes—
290C2×C4×C61C2×#4114yes—
291C2×C4×C61C2511yescharacteristic
292C22⋊D61—48no—
293C22⋊D61—48no—
294C22⋊D61—48no—
295C2×Dic61—22no—
296C2×Dic61—22no—
297C2×Dic61—24no—
298C2×Dic61—24no—
299C2×Dic61—22no—
300C2×Dic61—48no—
301C2×Dic61—48no—
302C2×Dic61—44no—
303C2×Dic61—42no—
304C2×Dic61—42no—
305C2×Dic61—44no—
306C2×Dic61—42no—
307D244—22no—
308D244—22no—
309D244—42no—
310C4×D61—48no—
311Dic122—24no—
312Dic122—22no—
313Dic122—24no—
314Dic122—22no—
315Dic122—44no—
316Dic122—48no—
317Dic122—42no—
318C8×C61—24no—
319C8×C61C22×D418yes—
320C2×#3056—611nomaximal, Sylow
321C22×C61—22no—
322C22×C61—28no—
323C22×C61—28no—
324C22×C61—22no—
325C22×C61—22no—
326C22×C61—22no—
327C22×C61—22no—
328C22×C61—22no—
329C22×C61—22no—
330C22×C61—416no—
331C22×C61—44no—
332C22×C61C2×#12114yes—
333C22×C61C2×#12112yes—
334C22×C61C2×#13712yes—
335C22×C61C2×#13714yescomplemented
336C22×C61#57512yes—
337C22×C61C23×D411yescharacteristic
338C2×D61—42no—
339C2×D61—42no—
340C2×D61—42no—
341C2×D61—84no—
342C4×C61—22no—
343C4×C61—22no—
344C4×C61C2×#12112yes—
345C4×C61C2×#12114yes—
346C4×C61C23×D411yescharacteristic
347C4×C61C22×#4111yescharacteristic
348Dic61—44no—
349Dic61—42no—
350Dic61—42no—
351Dic61—44no—
352Dic61—42no—
353C22×#137—611no—
354C23×M16D6111yescharacteristic, complemented
355C2×#525—611no—
356C22×C22⋊Q8—611no—
357#3056—6116no—
358C2×#470—612no—
359C2×#468—612no—
360C2×#467—612no—
361C2×#465—612no—
362C2×#428—611no—
363C2×#417—611no—
364C2×#419—611no—
365C2×C61—24no—
366C2×C61—24no—
367C2×C61—42no—
368C2×C61#305614yescomplemented
369C2×C61C22×#12111yescharacteristic
370C2×C61C22×#13711yescharacteristic
371C2×C61C2×#57511yescharacteristic
372D61—82no—
373C22×#41—611no—
374C23×Q8—611no—
375C24×C4C2×D6111yescharacteristic
376C2×#137—618no—
377C2×#137—1228no—
378C22×Q16—612no—
379C22×SD16—612no—
380C22×M16—28no—
381C22×M16C2×D6111yescharacteristic
382C22×M16C2×D6112yes—
383C22×M16C2×D6111yescharacteristic
384C22×M16C2×D6118yescomplemented
385C23×C8C2×D6112yes—
386#525—618no—
387#525—1224no—
388C2×#123—1221no—
389C2×C22⋊Q8—612no—
390C2×C22⋊Q8—612no—
391C2×C22⋊Q8—611no—
392C2×C22⋊Q8—611no—
393C2×C22⋊Q8—618no—
394C2×C22⋊Q8—1221no—
395C2×C22⋊Q8—1221no—
396C2×C22⋊Q8—1224no—
397C2×#121—611no—
398C2×#121—611no—
399C2×#120—1221no—
400C2×C4×D4—1221no—
401C2×C4×D4—1221no—
402C2×#117—611no—
403C22×C4⋊C4—611no—
404C22×C4⋊C4—1221no—
405C22×C22⋊C4—1221no—
406#470—6116no—
407#468—6116no—
408#467—6116no—
409#465—6116no—
410#428—618no—
411C2×#107—612no—
412C2×#106—612no—
413#419—618no—
414#417—618no—
415C2×#103—612no—
416C2×#103—612no—
417C2×#103—612no—
418C2×#102—612no—
419C61C2×#305611yescharacteristic, complemented, Sylow
420C25D24411yescharacteristic
421C2×#41—614no—
422C2×#41—1222no—
423C2×#41—1224no—
424C2×#41—1224no—
425C22×Q8—612no—
426C22×Q8—611no—
427C22×Q8—614no—
428C22×Q8—1222no—
429C22×Q8—1221no—
430C22×Q8—1224no—
431C22×Q8—1224no—
432C22×D4—611no—
433C22×D4—1221no—
434C22×D4—1221no—
435C22×D4—1221no—
436C23×C4—24no—
437C23×C4—24no—
438C23×C4—1221no—
439C23×C4—1221no—
440C23×C4—1221no—
441C23×C4D24411yescharacteristic
442C23×C4D24411yescharacteristic
443C23×C4D24411yescharacteristic
444C23×C4D24414yes—
445C23×C4C22×D6111yescharacteristic
446C23×C4C22×D6111yescharacteristic
447C23×C4C22×D6114yes—
448C23×C4C22×D6111yescharacteristic
449#137—12232no—
450C2×Q16—618no—
451C2×Q16—1228no—
452C2×SD16—618no—
453C2×SD16—1228no—
454C2×M16—24no—
455C2×M16—232no—
456C2×M16—28no—
457C2×M16C22⋊D6118yescomplemented
458C2×M16C22×D6114yes—
459C2×M16C22×D6118yes—
460C2×M16C22×D6114yes—
461C22×C8—28no—
462C22×C8C22×D6112yes—
463C22×C8C22×D6118yes—
464C22×C8C22×D6112yes—
465#123—1228no—
466C22⋊Q8—618no—
467C22⋊Q8—618no—
468C22⋊Q8—614no—
469C22⋊Q8—614no—
470C22⋊Q8—1228no—
471C22⋊Q8—1228no—
472C22⋊Q8—1224no—
473C22⋊Q8—1224no—
474C22⋊Q8—1222no—
475C22⋊Q8—1222no—
476#121—614no—
477#121—614no—
478#121—1222no—
479#121—1222no—
480#120—1228no—
481C4×D4—1228no—
482C4×D4—1228no—
483#117—614no—
484#117—1222no—
485C2×C4⋊C4—612no—
486C2×C4⋊C4—614no—
487C2×C4⋊C4—611no—
488C2×C4⋊C4—611no—
489C2×C4⋊C4—1222no—
490C2×C4⋊C4—1221no—
491C2×C4⋊C4—1228no—
492C2×C4⋊C4—1222no—
493C2×C4⋊C4—1222no—
494C2×C4⋊C4—1221no—
495C2×C4⋊C4—1221no—
496C2×C22⋊C4—1228no—
497C2×C22⋊C4—1222no—
498C2×C22⋊C4—1222no—
499C2×C22⋊C4—1221no—
500C2×C22⋊C4—1221no—
501C2×C22⋊C4—1221no—
502C2×C22⋊C4—1221no—
503C2×C22⋊C4—1221no—
504C2×C42—1221no—
505#107—618no—
506#106—618no—
507#103—618no—
508#103—618no—
509#103—618no—
510#102—618no—
511C24—24no—
512C24—24no—
513C24—42no—
514C24—1221no—
515C24C2×D24411yescharacteristic
516C24C2×D24414yes—
517C24C2×D24411yescharacteristic
518C24C2×D24411yescharacteristic
519#41—1228no—
520#41—1228no—
521#41—2448no—
522C2×Q8—614no—
523C2×Q8—612no—
524C2×Q8—1224no—
525C2×Q8—1222no—
526C2×Q8—1221no—
527C2×Q8—1224no—
528C2×Q8—1222no—
529C2×Q8—1228no—
530C2×Q8—1224no—
531C2×Q8—1228no—
532C2×Q8—1222no—
533C2×Q8—2444no—
534C2×Q8—2448no—
535C2×D4—612no—
536C2×D4—1224no—
537C2×D4—1224no—
538C2×D4—1224no—
539C2×D4—1222no—
540C2×D4—1221no—
541C2×D4—1222no—
542C2×D4—2444no—
543C2×D4—2444no—
544C2×D4—2444no—
545C22×C4—24no—
546C22×C4—22no—
547C22×C4—28no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—22no—
551C22×C4—28no—
552C22×C4—24no—
553C22×C4—24no—
554C22×C4—216no—
555C22×C4—1224no—
556C22×C4—1224no—
557C22×C4—1221no—
558C22×C4—1221no—
559C22×C4—1222no—
560C22×C4—1221no—
561C22×C4—1222no—
562C22×C4—1224no—
563C22×C4—2444no—
564C22×C4—2444no—
565C22×C4—2444no—
566C22×C4C2×D24414yes—
567C22×C4C2×D24414yes—
568C22×C4C2×D24414yes—
569C22×C4C2×D24412yes—
570C22×C4C2×D24412yes—
571C22×C4C2×D24411yescharacteristic
572C22×C4C2×D24411yescharacteristic
573C22×C4C2×D24412yes—
574C22×C4C2×D24411yescharacteristic
575C22×C4#1175822214yes—
576C22×C4C2×C22⋊D6114yes—
577C22×C4C23×D6112yes—
578C22×C4C23×D6112yes—
579C22×C4C23×D6112yes—
580C22×C4C23×D6111yescharacteristic
581Q16—12216no—
582SD16—12216no—
583M16—28no—
584M16—216no—
585M16C2×C22⋊D61116yescomplemented
586C2×C8—24no—
587C2×C8—216no—
588C2×C8C2×C22⋊D6118yes—
589C2×C8C23×D6114yes—
590C2×C8C23×D6114yes—
591C4⋊C4—614no—
592C4⋊C4—612no—
593C4⋊C4—612no—
594C4⋊C4—1224no—
595C4⋊C4—1222no—
596C4⋊C4—1221no—
597C4⋊C4—1221no—
598C4⋊C4—1228no—
599C4⋊C4—1228no—
600C4⋊C4—1224no—
601C4⋊C4—1224no—
602C22⋊C4—1228no—
603C22⋊C4—1228no—
604C22⋊C4—1224no—
605C22⋊C4—1224no—
606C22⋊C4—1224no—
607C22⋊C4—1224no—
608C22⋊C4—1224no—
609C42—1224no—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—28no—
615C23—22no—
616C23—22no—
617C23—28no—
618C23—22no—
619C23—44no—
620C23—416no—
621C23—1222no—
622C23—2442no—
623C23—2442no—
624C23—2442no—
625C23#1451975114yes—
626C23#1451981014yescomplemented
627C23C22×D24412yes—
628C23C22×D24412yes—
629C23C22×D24412yes—
630C23C22×D24411yescharacteristic
631Q8—1224no—
632Q8—1222no—
633Q8—1224no—
634Q8—1222no—
635Q8—2448no—
636Q8—2444no—
637Q8—2442no—
638D4—1222no—
639D4—1222no—
640D4—2448no—
641D4—2448no—
642D4—2448no—
643D4—2442no—
644C2×C4—28no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—28no—
648C2×C4—28no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—1224no—
658C2×C4—1222no—
659C2×C4—1224no—
660C2×C4—2448no—
661C2×C4—2442no—
662C2×C4—2448no—
663C2×C4—2444no—
664C2×C4—2442no—
665C2×C4—2444no—
666C2×C4—2442no—
667C2×C4—2448no—
668C2×C4#1451975114yes—
669C2×C4#1451975118yes—
670C2×C4C22×C22⋊D6112yes—
671C2×C4C22×C22⋊D6114yes—
672C2×C4C22×D24412yes—
673C2×C4C22×D24412yes—
674C2×C4C22×D24412yes—
675C2×C4C22×D24411yescharacteristic
676C2×C4C2×#1175822212yes—
677C2×C4C2×#1175822214yes—
678C2×C4C24×D6111yescharacteristic
679C8—24no—
680C8C22×C22⋊D6118yes—
681C22—22no—
682C22—22no—
683C22—22no—
684C22—28no—
685C22—28no—
686C22—22no—
687C22—22no—
688C22—22no—
689C22—22no—
690C22—416no—
691C22—44no—
692C22—4884no—
693C22—2442no—
694C22—2442no—
695C22—2442no—
696C22C2×#1451975114yes—
697C22C2×#1451975112yes—
698C22C2×#1451981012yes—
699C22C2×#1451981014yescomplemented
700C22#1684056212yes—
701C22C23×D24411yescharacteristic
702C4—22no—
703C4—22no—
704C4—2442no—
705C4—2444no—
706C4—2442no—
707C4—2442no—
708C4—2444no—
709C4C2×#1451975114yes—
710C4C2×#1451975112yes—
711C4C23×C22⋊D6111yescharacteristic
712C4C22×#1175822211yescharacteristic
713C2—24no—
714C2—24no—
715C2—42no—
716C2—4882no—
717C2#2145544914yesdirect product factor
718C2C22×#1451975111yescharacteristic
719C2C22×#1451981011yescharacteristic
720C2C2×#1684056211yescharacteristic
subgroupG/H
centerC23C22×D244
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC23×M16×C61C2
socleC23×C61C22×D4
prime radicalC2×#16840273C2
hypercenterC23×M16D61
hypocenterC61C2×#3056
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C24×C4 ◁ C23×M16

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C22×#14519810C2semidirect
3. C22×#14519756C2semidirect
4. #21455449C2direct (N × H)
5. C2×#16840020C2semidirect
6. C2×#16840008C2semidirect
7. C2×#16840003C2semidirect
8. C2×#16839991C2semidirect
9. C2×#16839804C2semidirect
10. C2×#16839764C2semidirect
11. C2×#16839772C2semidirect
12. C23×M16×C61C2semidirect
16. C2×#14519810C22semidirect
17. C22×Dic244C22semidirect
18. C22×#11758190C22semidirect
29. C2×#14519756C22semidirect
39. #16840020C22semidirect
40. #16840008C22semidirect
41. #16840003C22semidirect
42. #16839991C22semidirect
43. #16839804C22semidirect
44. C2×#14519711C22semidirect
45. C2×#14519709C22semidirect
46. #16839772C22semidirect
47. #16839764C22semidirect
48. C2×#14519702C22semidirect
49. C2×#14519702C22semidirect
50. C2×#14519702C22semidirect
51. C2×#14519699C22semidirect
57. C22×M16×C61C22semidirect
79. C2×Dic244C23semidirect
81. C2×#11758190C23semidirect
122. #14519711C23semidirect
123. #14519709C23semidirect
124. #14519702C23semidirect
125. #14519702C23semidirect
126. #14519702C23semidirect
127. #14519699C23semidirect
142. C2×M16×C61D4semidirect
222. M16×C61C2×D4semidirect
261. C23×C61#137semidirect
335. C22×C61C2×#137semidirect
354. C23×M16D61semidirect
368. C2×C61#3056semidirect
384. C22×M16C2×D61semidirect
419. C61C2×#3056semidirect
457. C2×M16C22⋊D61semidirect
585. M16C2×C22⋊D61semidirect
626. C23#14519810semidirect
699. C22C2×#14519810semidirect
717. C2#21455449direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C22×#145198102
C2×#168402732
C22×#145197562
#214554492
C2×#168400202
C2×#168400082
C2×#168400032
C2×#168399912
C2×#168398042
C2×#168397642
C2×#168397722
C23×M16×C612
C2×#305661